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Question: Answered & Verified by Expert
A box contains 9 slips bearing numbers -3, -2, -1, 0, 1, 2, 3, 4 and 5. An experiment consists of drawing a slip from this box and replacing it back in the box after noting the number. This experiment is repeated 9 times. These 9 numbers are now chosen as elements of a 3×3 matrix, then the probability that the matrix is skew symmetric is
MathematicsProbabilityJEE Main
Options:
  • A 196
  • B 34399
  • C 199
  • D 197
Solution:
1539 Upvotes Verified Answer
The correct answer is: 34399
Total cases =99
All diagonal elements are zero and aij=-aji
So favourable cases =73
Hence, required probability =7399

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